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Finding the Fourth Proportional to 769.36, 1,154.08 and 192.24

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Solution

The fourth proportional to 769.36, 1,154.08 and 192.24 is: 288.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.36 : 1,154.08 = 192.24 : x
  2. Step 2: Convert to fraction form
    769.36/1,154.08 = 192.24/x
  3. Step 3: Cross multiply
    769.36x = 1,154.08 × 192.24
  4. Step 4: Simplify right side
    769.36x = 221,860.34
  5. Step 5: Solve for x
    x = 221,860.34/769.36
  6. Step 6: Final answer
    x = 288.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.